Week 1: Chapter 1 –
Linear Programming Problem
Module-1: Mathematical Formulation of LPP and Graphical Method for Solving LPP
Module-2: Simplex Method for Solving LPP and
Big-M Method
Week 2: Chapter
1 – Linear Programming Problem
Module-3: Some Special Cases in LPP
Module-4: Duality,
and Solving LPP using Duality in Simplex Method
Module-5: Dual Simplex Method and Revised Simplex Method
Week 3: Chapter 2 – Transportation and
Assignment Problems
Module-1: Mathematical Formulation and Initial BFS of Transportation Problem
Module-2: Optimality
Test by Stepping Stone Method and MODI Method, and Some Special Cases of
Transportation Problem
Module-3: Assignment
Problem and Its Solution by Hungarian Method, and Travelling Salesman Problem
Week 4: Chapter 3 – Game Theory
Module-1: Basic Concept and Terminologies, Two-person Zero-sum Game, and Game with
Pure and Mixed Strategies
Module-2: Dominance
Principle, Arithmetic Method, and Graphical Method for Solving (2× n) Game
Module-3: Graphical
Method for Solving (m×2) Game and Solution of Game by Simplex Method
Week 5: Chapter 4 – Job Sequencing and
Replacement Theory
Module-1: Basic Terminologies and Assumptions of Job Sequencing, and
Processing of n Jobs through 2
and 3 Machines
Module-2: Processing n Jobs through m Machines, and Processing 2 Jobs
through m Machines - Graphical
Method
Module-3:
Introduction to Replacement Theory and Determination of Optimal Replacement Time
Module-4:
Selection of the Best Machine, and Individual and Group Replacement Policies
Week 6: Chapter 5 – Inventory Theory
Module-1: Economic Order Quantity and
EOQ Models without Shortage
Module-2: EOQ models with Shortage and EPQ Models with/without Shortages
Week 7: Chapter 5 – Inventory Theory
Module-3: Multi-item Inventory Models, Purchase Inventory Model, and Inventory
Models with Price Breaks
Module-4: Newsboy
Problem and Probabilistic Inventory Model with Instantaneous Demand and No Set
up Cost
Module-5: Probabilistic
Inventory Model with Uniform Demand and No Set up Cost, and Buffer Stock in
Probabilistic Inventory Model
Week 8: Revision,
Assignment and Evaluation
Week 9: Chapter
6 – Queuing Theory
Module-1: Basic Characteristics of Queuing System and Probability
Distribution of Arrivals
Module-2:
Probability Distribution of Departures and Model I (M|M|1):(∞|FCFS)
Module-3:
Model I. (General): (M|M|1): (∞|FCFS), and Model II. (M|M|1):
(N|FCFS)
Module-4:
Model III - (M|M|s): (∞|FCFS), and Model IV - (M|Ek|1): ( ∞|FCFS)
Week 10: Chapter
7 – Network Analysis
Module-1: Basic Components of Network and Critical Path Method (CPM)
Module-2: Total
Float and Free Float of Activity, and CPM Model: Time-cost Optimization
Week 11: Chapter
7 – Network Analysis
Module-3: Program Evaluation and Review Technique (PERT)
Module-4: LP
and Dual LP Solutions to Network Problem
Week 12: Chapter
8 – Dynamic Programming
Module-1: Basic Concept and Terminology, and Dynamic Programming Models I and II
Module-2: DP Model III,
Solution of Discrete DP Problem and Solution of LPP by DP
Week 13: Chapter
9 – Integer Programming
Module-1: Introduction to Integer Programming, and Gomory's Cutting Plane Method
for All IPP
Module-2: Gomory's
Cutting Plane Method for Mixed IPP, and Branch and Bound Method
Week 14: Chapter
10 – Nonlinear Programming
Module-1: NLPP with Equality Constraints: Lagrange Multiplier Method
Module-2: NLPP
with Inequality Constraints: Kuhn-Tucker (KT) Conditions, and Quadratic
Programming
Module-3: Wolfe's
Modified Simplex Method and Beale's Method
Week 15: Revision,
Assignment and Evaluation
Dr. Bibhas C. Giri is a Professor
of the Department of Mathematics, Jadavpur University, Kolkata. He did his
M.Sc. in Mathematics and Ph.D. in Operations Research, from Jadavpur
University. He has been teaching Operations Research course at PG level since
2005. Professor Giri has published so far 10 book chapters and about 200
research papers in international journals, which have been cited over 7288
times in total (google scholar citation), and supervised 14 Ph.D.
students. He is the recipient of
Alexander von Humboldt Fellowship, Germany; Fulbright Fellowship, U.S.A. and
Commonwealth Fellowship, U.K.
He has successfully run this
MOOCs course in Swayam platform in 2019 with 702 enrollments, and January 2020
semester with 1615 enrollments.
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